Fermion generations on a co-dimension 2 brane

TL;DR

This paper explores how three fermion generations can emerge from a six-dimensional model with a co-dimension 2 thick brane, where angular momentum in extra dimensions labels different generations.

Contribution

It introduces a higher-dimensional framework where fermion generations are distinguished by angular momentum modes in extra dimensions, providing a geometric explanation for the family puzzle.

Findings

Three zero modes with different angular momenta are trapped on the brane.

The zero modes are localized at different points in extra dimensions.

Angular momentum acts as a family label in the model.

Abstract

We examine the behavior of fermions in the presence of a non-singular thick brane having co-dimension 2. It is shown that one can obtain three trapped zero modes which differ from each other by having different values of angular momentum with respect to the 2 extra dimensions. These three zero modes are located at different points in the extra dimensional space and are interpreted as the three generations of fundamental fermions. The angular momentum in the extra dimensions (which is not conserved) acts as the family or generation label. This gives a higher dimensional picture for the family puzzle.